{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Frequency Domain Solver"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial demonstrates Meep's frequency-domain solver which is used to compute the fields produced in response to a continuous-wave (CW) source. For a description of its inner workings, see Section 5.3 (\"Frequency-domain solver\") of Computer Physics Communications, Vol. 181, pp. 687-702, 2010. This example involves using the frequency-domain solver to compute the fields of a ring resonator which is described in Tutorial/Basics. First, we will verify that the error in the fields decreases monotonically with decreasing tolerance of the iterative solver. And then, we will demonstrate qualitative agreement with the frequency-domain fields computed using a different method: Fourier transforming the time-domain fields in response to a narrowband Gaussian-pulse source.\n",
    "\n",
    "Usage of the frequency-domain solver involves only two changes to the original simulation: (1) replace the pulse source with a continuous source, and (2) turn on complex fields since real fields are used by default. Everything else remains unchanged.\n",
    "\n",
    "Since the frequency-domain solver uses an iterative method, there are a couple of things we can do to improve its convergence properties: (1) use a non-zero smoothing width for the CW source (default is 0) to reduce the high-frequency oscillations produced by its abrupt turn on which have slow group velocities and are absorbed poorly by PML, and (2) increase the L parameter of the BiCGSTAB-L iterative solver from the default of 2 to 10."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using MPI version 3.1, 1 processes\n"
     ]
    }
   ],
   "source": [
    "import meep as mp\n",
    "import numpy as np\n",
    "from numpy import linalg as LA\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Field time usage:\n",
      "        outputting fields: 0.12903 s\n",
      "          everything else: 0.000952456 s\n",
      "\n",
      "-----------\n",
      "Initializing structure...\n",
      "Halving computational cell along direction x\n",
      "Halving computational cell along direction y\n",
      "Working in 2D dimensions.\n",
      "Computational cell is 16 x 16 x 0 with resolution 10\n",
      "     cylinder, center = (0,0,0)\n",
      "          radius 2, height 1e+20, axis (0, 0, 1)\n",
      "          dielectric constant epsilon diagonal = (11.56,11.56,11.56)\n",
      "     cylinder, center = (0,0,0)\n",
      "          radius 1, height 1e+20, axis (0, 0, 1)\n",
      "          dielectric constant epsilon diagonal = (1,1,1)\n",
      "time for set_epsilon = 0.0209911 s\n",
      "-----------\n",
      "Meep: using complex fields.\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 3.4\n",
    "w = 1\n",
    "r = 1\n",
    "pad = 4\n",
    "dpml = 2\n",
    "\n",
    "sxy = 2 * (r + w + pad + dpml)\n",
    "cell_size = mp.Vector3(sxy, sxy)\n",
    "\n",
    "pml_layers = [mp.PML(dpml)]\n",
    "\n",
    "nonpml_vol = mp.Volume(mp.Vector3(), size=mp.Vector3(sxy - 2 * dpml, sxy - 2 * dpml))\n",
    "\n",
    "geometry = [\n",
    "    mp.Cylinder(radius=r + w, material=mp.Medium(index=n)),\n",
    "    mp.Cylinder(radius=r),\n",
    "]\n",
    "\n",
    "fcen = 0.118\n",
    "\n",
    "src = [\n",
    "    mp.Source(mp.ContinuousSource(fcen), component=mp.Ez, center=mp.Vector3(r + 0.1)),\n",
    "    mp.Source(\n",
    "        mp.ContinuousSource(fcen),\n",
    "        component=mp.Ez,\n",
    "        center=mp.Vector3(-(r + 0.1)),\n",
    "        amplitude=-1,\n",
    "    ),\n",
    "]\n",
    "\n",
    "symmetries = [mp.Mirror(mp.X, phase=-1), mp.Mirror(mp.Y, phase=+1)]\n",
    "\n",
    "sim = mp.Simulation(\n",
    "    cell_size=cell_size,\n",
    "    geometry=geometry,\n",
    "    sources=src,\n",
    "    resolution=10,\n",
    "    force_complex_fields=True,\n",
    "    symmetries=symmetries,\n",
    "    boundary_layers=pml_layers,\n",
    ")\n",
    "f = plt.figure(dpi=120)\n",
    "sim.plot2D(ax=f.gca())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_tols = 5\n",
    "tols = np.power(10, np.arange(-8.0, -8.0 - num_tols, -1.0))\n",
    "ez_dat = np.zeros((122, 122, num_tols), dtype=np.complex_)\n",
    "\n",
    "for i in range(num_tols):\n",
    "    sim.init_sim()\n",
    "    sim.solve_cw(tols[i], 10000, 10)\n",
    "    ez_dat[:, :, i] = sim.get_array(vol=nonpml_vol, component=mp.Ez)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "err_dat = np.zeros(num_tols - 1)\n",
    "for i in range(num_tols - 1):\n",
    "    err_dat[i] = LA.norm(ez_dat[:, :, i] - ez_dat[:, :, num_tols - 1])\n",
    "\n",
    "plt.figure(dpi=150)\n",
    "plt.loglog(tols[: num_tols - 1], err_dat, \"bo-\")\n",
    "plt.xlabel(\"frequency-domain solver tolerance\")\n",
    "plt.ylabel(\"L2 norm of error in fields\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PASSED solve_cw test: error in the fields is decreasing with increasing resolution\n"
     ]
    }
   ],
   "source": [
    "eps_data = sim.get_array(vol=nonpml_vol, component=mp.Dielectric)\n",
    "ez_data = np.real(ez_dat[:, :, num_tols - 1])\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(eps_data.transpose(), interpolation=\"spline36\", cmap=\"binary\")\n",
    "plt.imshow(ez_data.transpose(), interpolation=\"spline36\", cmap=\"RdBu\", alpha=0.9)\n",
    "plt.axis(\"off\")\n",
    "plt.show()\n",
    "\n",
    "if np.all(np.diff(err_dat) < 0):\n",
    "    print(\n",
    "        \"PASSED solve_cw test: error in the fields is decreasing with increasing resolution\"\n",
    "    )\n",
    "else:\n",
    "    print(\n",
    "        \"FAILED solve_cw test: error in the fields is NOT decreasing with increasing resolution\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-----------\n",
      "Initializing structure...\n",
      "run 0 finished at t = 225.0 (4500 timesteps)\n"
     ]
    }
   ],
   "source": [
    "sim.reset_meep()\n",
    "\n",
    "df = 0.08\n",
    "src = [\n",
    "    mp.Source(\n",
    "        mp.GaussianSource(fcen, fwidth=df), component=mp.Ez, center=mp.Vector3(r + 0.1)\n",
    "    ),\n",
    "    mp.Source(\n",
    "        mp.GaussianSource(fcen, fwidth=df),\n",
    "        component=mp.Ez,\n",
    "        center=mp.Vector3(-(r + 0.1)),\n",
    "        amplitude=-1,\n",
    "    ),\n",
    "]\n",
    "\n",
    "sim = mp.Simulation(\n",
    "    cell_size=mp.Vector3(sxy, sxy),\n",
    "    geometry=geometry,\n",
    "    sources=src,\n",
    "    resolution=10,\n",
    "    symmetries=symmetries,\n",
    "    boundary_layers=pml_layers,\n",
    ")\n",
    "\n",
    "dft_obj = sim.add_dft_fields([mp.Ez], fcen, 0, 1, where=nonpml_vol)\n",
    "\n",
    "sim.run(until_after_sources=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "eps_data = sim.get_array(vol=nonpml_vol, component=mp.Dielectric)\n",
    "ez_data = np.real(sim.get_dft_array(dft_obj, mp.Ez, 0))\n",
    "\n",
    "plt.figure()\n",
    "plt.imshow(eps_data.transpose(), interpolation=\"spline36\", cmap=\"binary\")\n",
    "plt.imshow(ez_data.transpose(), interpolation=\"spline36\", cmap=\"RdBu\", alpha=0.9)\n",
    "plt.axis(\"off\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
